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Table 6 Statistical analysis of optimal clustering configurations (complete clustering) by graph type and node resilience measure using selected ASD outcome measures

From: Applications of node-based resilience graph theoretic framework to clustering autism spectrum disorders phenotypes

Cluster (size)

ABC overall

RBS R overall

ADOS CSS

Vineland composite score

Overall IQ

PPVTA 4A

Epilepsy

kNN 2 Integrity k=3

 

C0 (1903)

45.73(25.8)

27.31(18.1)

7.37(1.7)

75.72(10.9)

88.19(23.5)

91.51(24.7)

1.74%

C1 (189)

54.08(24.6)

29.01(13.8)

7.58(1.5)

57.57(9.6)

38.91(18.7)

41.75(22.3)

6.91%

C2 (588)

47.55(25.9)

26.26(16.3)

7.63(1.6)

70.58(12.3)

69.99(27.6)

72.41(28.8)

2.73%

ANOVA p-value

< 0.001

0.15

0.003

< 0.001

< 0.001

< 0.001

 

Tukey HSD (NS ‡)

C0:C2

All pairs

C1:C0,C2

None

None

None

 

Eta-squared (η2)

0.007

0.001

0.004

0.157

0.244

0.209

 

kNN 2 VAT k=4

 

C0 (811)

50.86 (28.0)

31.76 (19.6)

7.48 (1.7)

72.69 (10.3)

80.06 (22.8)

82.98 (24.1)

2.47%

C1 (219)

60.02 (28.5)

32.33 (17.4)

7.68 (1.5)

57.74 (9.4)

39.55 (18.7)

41.93 (21.3)

5.99%

C2 (1117)

41.55 (22.2)

23.89 (15.4)

7.24 (1.7)

78.16 (10.4)

94.77 (20.8)

98.34 (22.1)

1.25%

C3 (535)

45.73 (25.2)

25.08 (16.0)

7.70 (1.6)

70.50 (12.8)

69.12 (28.2)

71.39 (29.1)

2.82%

ANOVA p-value

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

 

Tukey HSD (NSa)

None

C0:C1;C2:C3

C0:C1,C3 C1:C3

None

None

None

 

Eta-squared (η2)

0.047

0.046

0.013

0.212

0.322

0.288

 

kNN 2 Tenacity k=5

 

C0 (535)

67.12(21.5)

41.78(18.2)

7.30(1.7)

73.71(9.7)

91.46(21.6)

96.46 (23.8)

1.31%

C1 (497)

36.57(19.6)

22.10(12.6)

7.40(1.6)

74.56(10.2)

80.65(22.5)

82.57 (23.4)

2.42%

C2 (781)

33.78(19.3)

18.34(11.4)

7.22(1.7)

78.85(11.0)

92.99(22.8)

96.59(22.9)

1.41%

C3 (484)

44.05(23.9)

25.35(15.5)

7.58(1.7)

74.29(11.0)

79.31(23.7)

81.04(24.4)

2.07%

C4 (383)

61.19(27.5)

33.83(18.9)

7.97(1.5)

58.62(9.5)

42.20(19.4)

44.86(22.8)

5.76%

ANOVA p-value

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

 

Tukey HSD (NS ‡)

C1:C2

none

C0:C1,C2,C3 C1:C2,C3

C0:C1,C3 C1:C3

C0:C2;C1:C3

C0:C2;C1:C3

 

Eta-squared (η2)

0.274

0.253

0.022

0.272

0.361

0.333

 

kNN 3 Integrity k=5 corr

 

C0 (462)

66.56(24.0)

41.65(18.3)

7.54(1.7)

73.26(9.6)

87.95(22.9)

92.57(24.5)

0.87%

C1 (276)

57.20(27.4)

29.89(15.5)

7.39(1.4)

57.38(8.9)

37.27(17.8)

39.84(21.8)

5.82%

C2 (743)

33.48(18.7)

17.39(10.6)

7.18(1.7)

79.86(10.6)

96.22(20.6)

99.49(21.6)

1.62%

C3 (744)

46.25(24.8)

28.80(17.8)

7.53(1.6)

72.53(10.4)

78.72(23.3)

80.97(24.9)

3.10%

C4 (455)

42.58(23.2)

24.26(14.9)

7.66(1.8)

73.63(12.0)

77.54(25.2)

79.01(26.2)

1.54%

ANOVA p-value

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

 

Tukey HSD (NS ‡)

C3:C4

C1:C3

C0:C1,C3,C4 C1:C2,C3,C4 C3:C4

C0:C3,C4 C3:C4

C3:C4

C3:C4

 

Eta-squared (η2)

0.197

0.215

0.011

0.258

0.354

0.306

 
  1. aNS: implies pairs for which Tukey HSD test was not significant
  2. The mean and standard deviation values are presented for each measure